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Question
Find the mean proportional of the following:
17.5, 0.007
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Solution
Let x be the mean proportional between 17.5 and 0.007.
Then,
17.5 : x :: x : 0.007
⇒ 17.5, x and 0.007 are in continued proportion.
⇒ `17.5/x = x/0.007`
⇒ x × x = 17.5 × 0.007
⇒ x2 = 0.1225
⇒ x = `sqrt0.1225`
⇒ x = 0.35
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